Music and Probability by David Temperley
By David Temperley
Temperley has made a seminal contribution to the rising fields of empirical and cognitive musicology. Probabilistic reasoning offers the glue that attaches thought to info. Temperley, an complete and resourceful song theorist, understands the knowledge of track to which he lucidly applies probabilistic modeling innovations. The emphasis is on Bayesian equipment and the result's an organization empirical grounding for tune theory.
(David Wessel, Professor of tune, college of California, Berkeley)
As he did within the Cognition of simple Musical constructions, Temperley right here demanding situations the frontiers of the definition of song conception and cognition.
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Additional resources for Music and Probability
Example text
In Meyer’s view, music only conveys meaning and expressive effect when expectations are violated in some way. Meyer also noted the possibility of using entropy or information content to quantitatively describe and compare musical styles. ) However, he was skeptical about this possibility, given the current state of knowledge; success in this enterprise, he suggested, would require ‘‘a more precise and empirically validated account of mental behavior’’ and ‘‘a more precise and sensitive understanding of the nature of musical experience’’ (1957/1967: 20).
As noted earlier, the grid maximizing P(grid j onset pattern) will be the one maximizing P(onset pattern j grid)P(grid). To rigorously find the 36 Chapter 3 TEAM LinG most probable grid for an onset pattern, this latter quantity must be calculated for all possible grids. For a given grid—specifying beats at particular pips—this could be done quite easily, using knowledge of the generative process. We can calculate the prior probability of a grid as the product of the probabilities for all the decisions that went into its generation.
Simplicity and elegance are not easy 17 Probabilistic Foundations and Background TEAM LinG things to define quantitatively, but ways of doing this have been proposed, as we will discuss in chapter 8. The outer-space story presented above might also be formulated in Bayesian terms. The scientists were presented with a surface pattern, a sequence of symbols, and wanted to know the nature of the source giving rise to it. They had two models to choose from, and wanted to know which one was most probable, given the data.